The number 59997
59997 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2857. Divisors (8): 1, 3, 7, 21, 2857, 8571, 19999, 59997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59997 is composite. Its prime factorisation is
- 3
The divisors add up to 91456; without 59997 itself that is 31459, so 59997 is deficient (31459 is less than 59997). Euler's totient φ(59997) = 34272 numbers up to 59997 share no factor with it.
- 4
The digits of 59997 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59997 = 3 \times 7 \times 2857 \]
59997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91456 |
| Euler totient φ(n) | 34272 |
| Square | 3599640009 |
| Cube | 215967601619973 |
| Square root | 244.942850 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9997 × |
59997 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and ninety-seven |
| Binary (base 2) | 1110101001011101 |
| Octal (base 8) | 165135 |
| Hexadecimal (base 16) | EA5D |
| Base 3 | 10001022010 |
| As time | 59997 seconds = 16 h 39 min 57 s |
Is 59997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59997 ÷ 3 = 19999) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59997 ÷ 7 = 8571) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59997 a prime number?
No. 59997 = 3 × 7 × 2857, so it is divisible by 3.
What are the factors of 59997?
1, 3, 7, 21, 2857, 8571, 19999, 59997.
What is 59997 in binary?
1110101001011101 (hexadecimal EA5D, octal 165135).
What is the square root of 59997?
About 244.9429.
Is 59997 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 59997?
It is a composite number with 8 divisors.